Generalized resolution for orthogonal arrays

DOI10.1214/14-AOS1205zbMath1305.62291arXiv1405.7145OpenAlexW2151297432MaRDI QIDQ2510822

Hongquan Xu, Ulrike Grömping

Publication date: 4 August 2014

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.7145

zbMATH Keywords

qualitative factorsorthogonal arrayscanonical correlationgeneralized minimum aberrationgeneralized resolutiongeneralized word length patterncomplete confoundingweak strength \(t\)

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Measures of association (correlation, canonical correlation, etc.) (62H20) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items

Aberration in qualitative multilevel designs ⋮ Automatic generation of generalised regular factorial designs ⋮ Coarse-grained entanglement classification through orthogonal arrays ⋮ Coding invariance in factorial linear models and a new tool for assessing combinatorial equivalence of factorial designs ⋮ An algorithm for generating good mixed level factorial designs ⋮ On Construction of Nonregular Two-Level Factorial Designs With Maximum Generalized Resolutions ⋮ On the aberrations of mixed level orthogonal arrays with removed runs ⋮ Cost-efficient mixed-level covering designs for testing experiments ⋮ Minimum aberration designs for discrete choice experiments

Uses Software

• Orthogonal Array

Cites Work

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• Projection properties of certain three level orthogonal arrays
• Indicator function based on complex contrasts and its application in general factorial designs
• Minimum \(G_2\)-aberration for nonregular fractional factorial designs
• Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs
• Geometric isomorphism and minimum aberration for factorial designs with quantitative factors
• Generalized minimum aberration for asymmetrical fractional factorial designs.
• On the existence of saturated and nearly saturated asymmetrical orthogonal arrays
• Theory of J-characteristics for fractional factorial designs and projection justification of minimum G2-aberration
• Minimum Aberration 2 k-p Designs
• Generalised minimum aberration construction results for symmetrical orthogonal arrays
• RELATIONS BETWEEN TWO SETS OF VARIATES
• THE DESIGN OF OPTIMUM MULTIFACTORIAL EXPERIMENTS
• Statistical inference concerning several redundancy indices